Calculate the radius ratio of 2nd orbit of hydrogen and 3rd orbit of Li+2.
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We have to calculate the ratio of radius of 2nd orbit of hydrogen to 3rd orbit of Li²⁺ ion.
solution : according to Bohr's theory,
radius of nth orbit is given by, r = 0.529 × n²/Z A°
so the radius of 2nd orbit of hydrogen atom.
Z = 1, n = 2
so, r = 0.529 × (2)²/1 = 0.529 × 4 ....(1)
the radius of 3rd orbit of Li²⁺ ion,
Z = 3 , n = 3
so, R = 0.529 × (3)²/3 = 0.529 × 3 ....(2)
from equations (1) and (2) we get,
r/R = 0.529 × 4/0.529 × 3 = 4/3
Therefore the ratio of the radius of 2nd orbit of hydrogen to 3rd orbit of Li²⁺ ion.
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